166938734592 has 260 divisors, whose sum is σ = 569944327216. Its totient is φ = 47696117760.

The previous prime is 166938734563. The next prime is 166938734597. The reversal of 166938734592 is 295437839661.

166938734592 is a `hidden beast` number, since 1 + 6 + 6 + 9 + 3 + 8 + 7 + 34 + 592 = 666.

It is a super-2 number, since 2×166938734592² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166938734597) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2286492 + ... + 2358372.

Almost surely, 2^166938734592 is an apocalyptic number.

166938734592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166938734592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284972163608).

166938734592 is an abundant number, since it is smaller than the sum of its proper divisors (403005592624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

166938734592 is an frugal number, since it uses more digits than its factorization.

166938734592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71924 (or 71893 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 166938734592 in words is "one hundred sixty-six billion, nine hundred thirty-eight million, seven hundred thirty-four thousand, five hundred ninety-two".